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Finding the Fourth Proportional to 365.05, 546.49 and 227.67

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Solution

The fourth proportional to 365.05, 546.49 and 227.67 is: 340.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.05 : 546.49 = 227.67 : x
  2. Step 2: Convert to fraction form
    365.05/546.49 = 227.67/x
  3. Step 3: Cross multiply
    365.05x = 546.49 × 227.67
  4. Step 4: Simplify right side
    365.05x = 124,419.38
  5. Step 5: Solve for x
    x = 124,419.38/365.05
  6. Step 6: Final answer
    x = 340.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.